Answer:
s = 11; t = 4
Explanation:
As you can see on ΔXYZ, there's a red box, which means that angle is equivalent to 90°, or a right angle. You can see a matching red box on ΔEDC. Since ΔXYZ≅ΔEDC (triangle XYZ is congruent to triangle EDC), that means those two right angles correspond.
Then you can see that since the triangles are congruent, segment ZY is congruent to segment CD. Segment ZY equals 6s while segment CD equals 3s + 33. Since the two segments are congruent, the two expressions are equal, giving: 6s = 3s + 33. Then, you combine like terms by subtracting 3s from both sides to get 6s - 3s = 3s + 33 - 3s, which equals 3s = 33. To simplify, you divide 3 on both sides to get 3s ÷ s = 33 ÷ 3, which equals s = 11. Therefore, s = 11.
You can also see that segment ZX ≅ segment CE. That means those two segments are equal, meaning 5t + 8 = 7t. To simplify, you combine like terms by subtracting 5t from both sides to get 5t + 8 - 5t = 7t - 5t, which equals 8 = 2t. To simplify, you divide 2 from both sides to get 8 ÷ 2 = 2t ÷ 2. This equals 4 = t, which is the same thing as t = 4.
Therefore, s = 11 and t = 4.